Search a number
-
+
113540535541242 = 2344434636835003
BaseRepresentation
bin11001110100001110110111…
…010010011101110111111010
3112220000100222010210121210000
4121310032313102131313322
5104340222004044304432
61041251445115533430
732626014213205665
oct3164166722356772
9486010863717700
10113540535541242
11331a52a8354477
1210898abb75a276
134b47a98c4b994
1420075697d26dc
15d1d6b35aa57c
hex6743b749ddfa

113540535541242 has 160 divisors (see below), whose sum is σ = 255965231858688. Its totient is φ = 37617165409824.

The previous prime is 113540535541207. The next prime is 113540535541249. The reversal of 113540535541242 is 242145535045311.

113540535541242 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 0 + 53 + 554 + 1 + 2 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (113540535541249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22694487913 + ... + 22694492915.

Almost surely, 2113540535541242 is an apocalyptic number.

113540535541242 is an abundant number, since it is smaller than the sum of its proper divisors (142424696317446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113540535541242 is a wasteful number, since it uses less digits than its factorization.

113540535541242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 113540535541242 in words is "one hundred thirteen trillion, five hundred forty billion, five hundred thirty-five million, five hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 443 463 683 886 926 1329 1366 1389 2049 2658 2778 3987 4098 4167 5003 6147 7974 8334 10006 11961 12294 12501 15009 18441 23922 25002 30018 35883 36882 37503 45027 55323 71766 75006 90054 110646 135081 205109 270162 302569 316229 405243 410218 605138 615327 632458 810486 907707 948687 1230654 1815414 1845981 1897374 2216329 2316389 2723121 2846061 3417049 3691962 4432658 4632778 5446242 5537943 5692122 6648987 6834098 6949167 8169363 8538183 10251147 11075886 13297974 13898334 16338726 16613829 17076366 19946961 20502294 20847501 24508089 25614549 30753441 33227658 39893922 41695002 49016178 51229098 59840883 61506882 62542503 92260323 119681766 125085006 140089447 179522649 184520646 187627509 276780969 280178894 359045298 375255018 420268341 553561938 840536682 1026160327 1260805023 1513752707 1582093687 2052320654 2521610046 3027505414 3078480981 3164187374 3782415069 4541258121 4746281061 6156961962 7564830138 9082516242 9235442943 9492562122 11347245207 13623774363 14238843183 18470885886 22694490414 27247548726 27706328829 28477686366 40871323089 42716529549 55412657658 81742646178 83118986487 85433059098 122613969267 128149588647 166237972974 245227938534 256299177294 700867503341 1401735006682 2102602510023 4205205020046 6307807530069 12615615060138 18923422590207 37846845180414 56770267770621 113540535541242